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Compounded annually with annual payments

Problem 1. What is the present value of $2000 a year for 10 years at 12% compounded annually?

Problem 2. What series of equal (uniform) payments is necessary to repay the following present amounts?

a. $500 in 5 years at 10% compounded annually with annual payments?

b. $10000 in 15 years at 10% compounded annually with annual payments.

Problem 3. What annual equal (uniform) payment series is necessary to repay a series of 30 end-of-year payments that begins at $250 and increases at the rate of $50 a year with 9% interest compounded annually?

Problem 4. Find the nominal annual interest rate and effective interest rate per compounding period for the following effective annual interest rate: 18.39%, monthly compounding.

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